Space of modular forms of level 2040, weight 2, and Character 2040.dl

• Label: 2040.2.dl
• Level: $2040$
• Weight: $2$
• Character orbit: 2040.dl
• Rep. character: $\chi_{2040}(53,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $1696$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2040 = 2^{3} \cdot 3 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2040.dl (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2040 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2040, [\chi])\).

	Total	New	Old
Modular forms	1760	1760	0
Cusp forms	1696	1696	0
Eisenstein series	64	64	0

Trace form

1696 * q - 8 * q^6 - 16 * q^7 - 24 * q^10 + 8 * q^12 - 8 * q^15 - 32 * q^16 - 8 * q^18 - 24 * q^22 - 24 * q^24 - 16 * q^25 - 72 * q^28 + 16 * q^30 - 32 * q^31 - 16 * q^33 + 32 * q^34 - 40 * q^36 - 48 * q^40 - 64 * q^46 - 44 * q^48 + 48 * q^52 - 16 * q^54 - 32 * q^57 + 8 * q^58 - 72 * q^60 + 48 * q^63 + 48 * q^64 - 8 * q^66 - 56 * q^70 + 104 * q^72 - 16 * q^73 + 48 * q^76 + 20 * q^78 - 32 * q^79 + 8 * q^82 - 16 * q^87 - 72 * q^88 + 24 * q^90 + 24 * q^94 - 8 * q^96 - 16 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(2040, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.